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Pre-Algebra
operations with numbers
number sense
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fractions, decimals,
percentages
integers
algebra
ratio & proportion
geometry in the plane
geometry in space
measurement
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Browse all Pre-Algebra Problems of the Week

The Pre-Algebra Problems are designed for those students who are consolidating and practicing their knowledge of basic mathematics skills and who are beginning to prepare for algebra. The problems cover approximately the same materials as the NCTM Standards for Grades 6-8.



Access to these problems requires a Membership.

A Holiday Gift for Grandmother Brown - Judy Ann Brown
Pre-Algebra, difficulty level 3. Determine the cost of the dishwasher and the contribution from each of five children. ... more>>

Homerun Percentages - Judy Ann Brown
Pre-Algebra, difficulty level 3. Baseball box scores give us a chance to practice percent skills. ... more>>

How Far in Space? - Suzanne Alejandre
Pre-Algebra, difficulty level 1. By the time the Space Shuttle Discovery had undocked from it in August, 2005, how far had the International Space Station traveled while orbiting the Earth? ... more>>

How Fast Is a Minute? - Suzanne Alejandre
Pre-Algebra, difficulty level 1. How many feet does the tip of the minute hand travel in an hour on the clock on Philadelphia's City Hall Tower? ... more>>

How Old is Ms. Nelson? - Judy Ann Brown
Pre-Algebra, difficulty level 2. Ms. Nelson claims that she is three times as old as her little sister. However, six years ago she was five times as old as her sister was. How old is Ms. Nelson? ... more>>

How Wide Is My Garden? - Judy Ann Brown
Pre-Algebra, difficulty level 3. A scale drawing is used to determine the width and area of a garden. ... more>>

Ian's Rides - Annie Fetter, Ian Underwood, Stephen Weimar
Pre-Algebra, difficulty level 4. Determine which graph best represents the mean average of the number of miles Ian rode each ride. ... more>>

I Get A Kick Out Of Soccer! - Judy Ann Brown
Math Fundamentals, difficulty level 3. How many laps of the soccer field would a team member need to complete to run more than a mile? ... more>>

I'm a Groundhog? - Suzanne Alejandre
Pre-Algebra, difficulty level 2. Using Suzanne's height, Phil's height, and Suzanne's shadow length, find Phil's shadow length. ... more>>

Inching Along Down the Football Field - Terrel Trotter
Math Fundamentals, difficulty level 3. Fred put his football down on a goal line of the 100-yard field. He then moved it forward half the field distance, over and over again. When did the distance first become less than one inch? ... more>>

Integer Game - Suzanne Alejandre
Pre-Algebra, difficulty level 1. Help Alisa pick a set of six cards to win the Integer Game. ... more>>

Integer Images - Suzanne Alejandre
Pre-Algebra, difficulty level 2. Use the four equations to figure out which integers the quadrilateral and the circle represent. ... more>>

An Interesting Integer - Judy Ann Brown
Pre-Algebra, difficulty level 2. I'm thinking of a particular integer. It is a multiple of three, five, and seven. No digit occurs more than once. Can you find my number? ... more>>

It's A Secret - Judy Ann Brown
Pre-Algebra, difficulty level 2. In this puzzle, your job is to decode the secret message. ... more>>

January Sales - Judy Ann Brown
Pre-Algebra, difficulty level 2. Mathematicians, put away your calculators and help Lynne estimate the cost of a set of golf clubs. ... more>>

Join Us for a Quarter-pound Burger - Suzanne Alejandre
Pre-Algebra, difficulty level 2. Work with fractions and percents to help plan this cookout. ... more>>

Kate's Combination - Suzanne Alejandre
Pre-Algebra, difficulty level 2. Find Kate's locker combination using mathematical clues. Is there more than one possibility? ... more>>

Kaytee's Contest - Suzanne Alejandre
Pre-Algebra, difficulty level 2. Use clues to figure out how much Kaytee's cows weigh. ... more>>

Kwae - Suzanne Alejandre
Pre-Algebra, difficulty level 3. Determine the number of kwae that can be made. ... more>>

Label Shuffle - Judy Ann Brown
Pre-Algebra, difficulty level 3. There are three containers. Which one has the red marbles? ... more>>

Lee's Lawn Chair - Lee & Suzanne Alejandre
Pre-Algebra, difficulty level 3. Using the measurements given in the problem, determine the scale factor used to create the larger chair. ... more>>

Lemonade Fun - Maria Fung and her students
Pre-Algebra, difficulty level 2. How many cups of each size lemonade did Jose and Nick sell? ... more>>

Lightning Strikes - Judy Ann Brown
midpow, difficulty level 1. It takes five seconds for the sound of thunder to travel one mile. How far away is the lightning if thirty-two seconds pass between the flash of the lightning bolt and the sound of the thunder? ... more>>

Lillian's Lines - Lillian Ray and Molly Ribble
Pre-Algebra, difficulty level 3. Students are asked to find how many square panes a path goes through for a window of a given size. ... more>>

Lincoln's Top Hat - Suzanne Alejandre
Pre-Algebra, difficulty level 3. Find the dimensions of a rectangular sheet of paper used to make a paper top hat that has width and height the same. ... more>>

Locker Combinations - Judy Ann Brown
Pre-Algebra, difficulty level 4. In this counting problem you will need to determine the total number of possible locker combinations. ... more>>

Lost in Des Moines - Judy Ann Brown
Pre-Algebra, difficulty level 2. Calculate the speed of a car using given information. ... more>>

Lucky Lollipops - Suzanne Alejandre & Maria Fung and her students
Pre-Algebra, difficulty level 3. Find the number of lollipops Logan the Leprechaun gives away using his "lucky" method. ... more>>

Luscious Lemonade - Judy Ann Brown
Math Fundamentals, difficulty level 3. The label on the lemon concentrate says that I need to mix 2 cups of concentrate with 3 cups of water. How much lemon concentrate should I buy to make 25 gallons of lemonade? ... more>>

The Magic of Number 6174 - Suzanne Alejandre
Pre-Algebra, difficulty level 4. Have fun exploring this number magic. ... more>>

Making Money - Alice Miller
Pre-Algebra, difficulty level 3. How much money would you have by December 31, 1999, if you put 10 cents in the special "math" bank on January 1, 1999? ... more>>

Marathon Man - Annie Fetter
Pre-Algebra, difficulty level 2. Find the average of Dane Rauschenberg's marathon times if one of them is disregarded. ... more>>

Math Club Lollipop Profits - Judy Ann Brown
Math Fundamentals, difficulty level 3. The Math Club plans to sell lollipops. Help them to calculate their profit. ... more>>

Math Club Ski Trip - Judy Ann Brown
Pre-Algebra, difficulty level 2. Mrs. Germain and her friend, Mrs. Granville, need your help to plan the shortest route to visit five local ski areas. ... more>>

Measuring a Mountain Bike - Annie Fetter
Pre-Algebra, difficulty level 3. Help Annie determine the circumference of her bike tire so that she can accurately set up her new cyclometer. ... more>>

Measuring Melons - Suzanne Alejandre, Claire Mead
Pre-Algebra, difficulty level 3. Students determine how much each type of fruit weighs. ... more>>

Membership Boom! - Judy Ann Brown
Pre-Algebra, difficulty level 3. Find the number of students involved in the Math Club, and the number of students in the school. ... more>>

Mikey and Lily Eat Cereal - Stephen Weimar, Annie Fetter, Suzanne Alejandre
Pre-Algebra, difficulty level 3. How much of a box of cereal do Mikey and Lily each have left? ... more>>

Milk Madness - Suzanne Alejandre
Pre-Algebra, difficulty level 4. Help Georgina find out how much milk is left using the number pattern she describes. ... more>>

Milo's Mile - Stephen Weimar, Annie Fetter, Suzanne Alejandre
Pre-Algebra, difficulty level 2. Use data to describe how the number of minutes it takes Milo to run a mile changes as his speed changes. ... more>>

Mirror Musing - Suzanne Alejandre
Pre-Algebra, difficulty level 3. Using the information given in a picture of Hagrid and Baby Norbert, find out how tall each of them is. ... more>>

Mixing Marbles - Stephen Weimar
Pre-Algebra, difficulty level 3. Find how many marbles each person had at the beginning. ... more>>

Money Maker? - Leigh Nataro, Suzanne Alejandre
Pre-Algebra, difficulty level 4. Would you rather earn $10 a week, or take a chance every week on the money in this paper bag? ... more>>

The Most Appealing Nose Contest - Judy Ann Brown
Pre-Algebra, difficulty level 3. Use the given information to determine the amount of money raised for the Humane Society by the Student Council. ... more>>

Movie Seating - Maria Fung and her students
Pre-Algebra, difficulty level 2. Use the clues to determine where Mom, Dad, Randy, Shelley, Noreen, and Alan sit at the movie theater. ... more>>

Mr. Carmel's Party Plan - Judy Ann Brown
Pre-Algebra, difficulty level 2. Help Mr. Carmel's class earn an ice cream party by counting the number of possible sundaes. ... more>>

Mr. Pearson's Statistics Lesson - Judy Ann Brown
Pre-Algebra, difficulty level 2. Use the information on the graph to find the range, mean, median, and mode of the data. ... more>>

My Almond Cookie Bake - Lisa Lavelle
Pre-Algebra, difficulty level 3. Convert this cookie recipe to feed the March Madness celebrators. ... more>>

The Name Game - Judy Ann Brown
Pre-Algebra, difficulty level 3. The first student says his/her own name; the second student repeats the first student's name and adds his/her own name... How many names are said if the numbers of students in my math classes on the first day are 27, 28, 32, 31, and 30? ... more>>

New Home for Fibonacci and Fractal - Judy Ann Brown
Pre-Algebra, difficulty level 2. Determine how long it will take Jimal and Leslie to fill the new 15-gallon aquarium. ... more>>

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